in the secular-Jewish community I participate in, there's a strong line drawn between religion (belief in the Torah, etc.) and ethnicity. It's like being Italian without being Catholic. There's also a difference between being an Arab (an ethnicity) and being a Moslem. There are a lot of Arabs who are Jewish, Christian, Druse, or secular.
As for race, that's really not a good scientific category. It's more of a sociological category than a biological one. That is, it's the same as ethnicity. However, the word "racism" can still be apt. Racism involves (1) believing that biologically-based "races" are valid non-sociological categories; and (2) believing that some races are better than others.
-- Jim Devine
"The price one pays for pursuing any profession or calling is an intimate knowledge of its ugly side." -- James Baldwin